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Question

Which smallest digit will replace '?' in the number 948?72 so as to make it divisible by 9?

A
4
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B
8
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C
7
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D
6
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Solution

The correct option is D 6
The divisibility rule for a number divisible by 9 is that the sum of the digits of the number should be divisible by 9.


The given number is 948?72.

Let the unknown digit be x.

Sum of the digits = 9 + 4 + 8 + 7 + 2 + x

= 30 + x

Since 30 is not divisible by 9, the next number (nearest to 30) divisible by 9 is 36. Hence, we have to add 6 to the sum of the digits for the number to be divisible by 9.

Hence, the missing digit in the given number is 6.

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